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The solvability criterion of cubic equations over p-adic field

Unlike real numbers, in general, the cubic equation is not necessary to have a solution over p-adic field. Therefore, in this paper, we provide a solvability criterion for a cubic equation in Z^* p. In principal, the Cardano method is not always applicable for such kind of equations. Moreover, th...

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Main Authors: Mukhamedov, Farrukh, Saburov, Mansoor
Format: Conference or Workshop Item
Language:English
Published: IIUM Press 2012
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/25532/1/mfms-ICMAE2012.pdf
http://irep.iium.edu.my/25532/
http://www.iium.edu.my/icmae/12/
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spelling my.iium.irep.255322012-12-28T07:03:56Z http://irep.iium.edu.my/25532/ The solvability criterion of cubic equations over p-adic field Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics Unlike real numbers, in general, the cubic equation is not necessary to have a solution over p-adic field. Therefore, in this paper, we provide a solvability criterion for a cubic equation in Z^* p. In principal, the Cardano method is not always applicable for such kind of equations. Moreover, the numbers of solutions of the cubic equation in domains Z^*_p; are provided. IIUM Press 2012 Conference or Workshop Item REM application/pdf en http://irep.iium.edu.my/25532/1/mfms-ICMAE2012.pdf Mukhamedov, Farrukh and Saburov, Mansoor (2012) The solvability criterion of cubic equations over p-adic field. In: Proceedings of International Conference on Mathematical Applications in Engineering (ICMAE'12), 3-5 July 2012, Kuala Lumpur. http://www.iium.edu.my/icmae/12/
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mukhamedov, Farrukh
Saburov, Mansoor
The solvability criterion of cubic equations over p-adic field
description Unlike real numbers, in general, the cubic equation is not necessary to have a solution over p-adic field. Therefore, in this paper, we provide a solvability criterion for a cubic equation in Z^* p. In principal, the Cardano method is not always applicable for such kind of equations. Moreover, the numbers of solutions of the cubic equation in domains Z^*_p; are provided.
format Conference or Workshop Item
author Mukhamedov, Farrukh
Saburov, Mansoor
author_facet Mukhamedov, Farrukh
Saburov, Mansoor
author_sort Mukhamedov, Farrukh
title The solvability criterion of cubic equations over p-adic field
title_short The solvability criterion of cubic equations over p-adic field
title_full The solvability criterion of cubic equations over p-adic field
title_fullStr The solvability criterion of cubic equations over p-adic field
title_full_unstemmed The solvability criterion of cubic equations over p-adic field
title_sort solvability criterion of cubic equations over p-adic field
publisher IIUM Press
publishDate 2012
url http://irep.iium.edu.my/25532/1/mfms-ICMAE2012.pdf
http://irep.iium.edu.my/25532/
http://www.iium.edu.my/icmae/12/
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score 13.214268

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